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The figure shows an infinite circuit for...

The figure shows an infinite circuit formed by the repetiton of the same link , consisting of resistance `R_(1) = 4.0 Omega ` and `R_(2) = 3.0 Omega ` . Find the resisance of this circuit between points A and B.

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To find the equivalent resistance \( R_{AB} \) of the infinite circuit formed by the resistors \( R_1 = 4.0 \, \Omega \) and \( R_2 = 3.0 \, \Omega \) between points A and B, we can follow these steps: ### Step 1: Define the Equivalent Resistance Let the equivalent resistance between points A and B be denoted as \( R_{AB} = x \). ### Step 2: Analyze the Circuit In the given infinite circuit, the first resistor \( R_1 \) is connected in series with the equivalent resistance of the rest of the circuit (which is also \( x \)). The second resistor \( R_2 \) is connected in parallel with this combination. ...
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